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Finding the Fourth Proportional to 12,156.25, 16,775.63 and 6,567.25

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Solution

The fourth proportional to 12,156.25, 16,775.63 and 6,567.25 is: 9,062.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,156.25 : 16,775.63 = 6,567.25 : x
  2. Step 2: Convert to fraction form
    12,156.25/16,775.63 = 6,567.25/x
  3. Step 3: Cross multiply
    12,156.25x = 16,775.63 × 6,567.25
  4. Step 4: Simplify right side
    12,156.25x = 110,169,756.12
  5. Step 5: Solve for x
    x = 110,169,756.12/12,156.25
  6. Step 6: Final answer
    x = 9,062.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.